Crossover in growth law and violation of superuniversality in the random-field Ising model

Corberi, F. ; Lippiello, E. ; Mukherjee, A. ; Puri, S. ; Zannetti, M. (2012) Crossover in growth law and violation of superuniversality in the random-field Ising model Physical Review E, 85 (2). 021141_1-021141_8. ISSN 1539-3755

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Official URL: http://pre.aps.org/abstract/PRE/v85/i2/e021141

Related URL: http://dx.doi.org/10.1103/PhysRevE.85.021141

Abstract

We study the nonconserved phase-ordering dynamics of the d=2,3 random-field Ising model, quenched to below the critical temperature. Motivated by the puzzling results of previous work in two and three dimensions, reporting a crossover from power-law to logarithmic growth, together with superuniversal behavior of the correlation function, we have undertaken a careful investigation of both the domain growth law and the autocorrelation function. Our main results are as follows: We confirm the crossover to asymptotic logarithmic behavior in the growth law, but, at variance with previous findings, we find the exponent in the preasymptotic power law to be disorder dependent, rather than being that of the pure system. Furthermore, we find that the autocorrelation function does not display superuniversal behavior. This restores consistency with previous results for the d=1 system, and fits nicely into the unifying scaling scheme we have recently proposed in the study of the random-bond Ising model.

Item Type:Article
Source:Copyright of this article belongs to American Physical Society.
ID Code:96120
Deposited On:04 Dec 2012 10:46
Last Modified:04 Dec 2012 10:46

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